Least Common Multiple of 77/867, 836/721, 440/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/867, 836/721, 440/526 quickly i.e. 58520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/867, 836/721, 440/526 is 58520.

LCM(77/867, 836/721, 440/526) = 58520

LCM of 77/867, 836/721, 440/526

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 77/867,836/721,440/526

Given numbers are 77/867,836/721,440/526

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 77,836,440

Least Common Multiple of Numerators i.e. LCM of 77,836,440 is 58520.

GCF of Denominators means GCF of 867,721,526 as per the given fractions.

GCF of 867,721,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,836,440

LCM of Fractions 77/867,836/721,440/526 is 58520

2 77, 836, 440
2 77, 418, 220
11 77, 209, 110
7, 19, 10

∴ So the LCM of the given numbers is 2 x 2 x 11 x 7 x 19 x 10 = 58520

Least Common Multiple of 77,836,440 with GCF Formula

Least Common Multiple of 77,836,440 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 77,836,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,836,440) = 11

common factors(in case of two or more numbers have common factors) = 44

GCF(77,836,440) x common factors =11 x 44 = 484

LCM(77,836,440) = ( 77 × 836 × 440 ) / 484

LCM(77,836,440) = 28323680 / 484

LCM(77,836,440) = 58520


Lets's calculate GCF of 867,721,526

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58520/1

Therefore the LCM of Fractions 77/867,836/721,440/526 is 58520

Greatest Common Factor of 867,721,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,721,526 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 867,721,526 . The biggest common factor number is the GCF number.
So the greatest common factor 867,721,526 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 77/867, 836/721, 440/526

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 77/867, 836/721, 440/526?

Answer: LCM of Numerators as per given numbers 77/867, 836/721, 440/526 is

LCM of Numerators i.e. for 77,836,440 is 58520

GCF of denominators i.e. for 867,721,526 is 1.

Thus, LCM of Fractions is 58520.Finally, LCM of Fractions for 77/867, 836/721, 440/526 is 58520.